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From 1866 to 1870, Palisa studied mathematics and astronomy at the University of Vienna; however, he did not graduate until 1884. Despite this, by 1870 he was an assistant at the University's observatory, and a year later gained a position at the observatory in Geneva. A few years later, in 1872, at the age of 24, Palisa became the director of the Austrian Naval Observatory in Pula. While at Pula, he discovered his first asteroid, 136 Austria, on March 18, 1874. Along with this, he discovered twenty-seven minor planets and one comet. During his stay in Pula he used a small six-inch refractor telescope to aid in his research.[1]

One of his discoveries was 253 Mathilde, which was visited by the spacecraft NEAR Shoemaker on June 27, 1997. The robotic probe passed within 1200 km of Mathilde at 12:56 UT at 9.93 km/s, returning imaging and other instrument data including over 500 images which covered 60% of Mathilde's surface.[6]